Simplify -((abc(a^-2c^-3)^-3)/(c^7))^-7a^49b^7c^21+1

Math
Simplify each term.
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Move to the denominator using the negative exponent rule .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the denominator.
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Apply the product rule to .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Rewrite the expression using the negative exponent rule .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Rewrite the expression using the negative exponent rule .
Simplify the denominator.
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Combine and .
Multiply and .
Reduce the expression by cancelling the common factors.
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Multiply by .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite the expression using the negative exponent rule .
Simplify the denominator.
Tap for more steps…
Apply the product rule to .
Apply the product rule to .
Multiply the exponents in .
Tap for more steps…
Apply the power rule and multiply exponents, .
Multiply by .
Multiply the exponents in .
Tap for more steps…
Apply the power rule and multiply exponents, .
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Add and .
Simplify -((abc(a^-2c^-3)^-3)/(c^7))^-7a^49b^7c^21+1

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